QUESTION 12 Exhibit 3B The results of a recent poll on the preference of teenage
ID: 3323384 • Letter: Q
Question
QUESTION 12
Exhibit 3B
The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below:
Pop
Rap
Teenagers surveyed
900
800
Teenagers favoring this type
810
680
Refer to Exhibit 3B, the point estimate for the difference between the two population proportions in favor of the particular product is
0.02
0.05
0.84
100
3 points
QUESTION 13
0.0161
0.0243
0.3672
0.4025
3 points
QUESTION 14
Refer to Exhibit 3B, the 95% confidence interval estimate for the difference between the two population proportions is (Hints: For the standard error, round to four decimal places.)
0.018 to 0.082
0.024 to 0.076
0.009 to 0.091
0.014 to 0.086
Pop
Rap
Teenagers surveyed
900
800
Teenagers favoring this type
810
680
Explanation / Answer
point estimate for the difference between the two population proportions in favor of the particular product is
p1^-p2^
=810/900-680/800
=0.9-0.85
=0.05
Option B:0.05
Solution13:
e standard error is
sqrt(0.9(1-0.9)/900+0.85(1-0.85)/800
=0.0161
OPTIONA 0.0161
Solutionc:
95% confidence interval estimate for the difference between the two population proportions is
z crit=1.96
Diff in prop-1.96 Std Error,Diff in prop+1.96 Std Error
0.05-1.96(0.0161),0.05+1.96(0.0161)
0.018 to 0.082
OPTION A 0.018 to 0.082
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